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Evolutionary Equilibrium in Contests with Stochastic Participation: Entry, Effort and Overdissipation

Author

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  • Yiquan Gu
  • Burkhard Hehenkamp
  • Wolfgang Leininger

Abstract

This paper examines the evolutionary stability of behaviour in contests where players’ participation can be stochastic. We find, for exogenously given participation probabilities, players exert more effort under the concept of a finite-population evolutionarily stable strategy (FPESS) than under Nash equilibrium (NE). We show that there is exante overdissipation under FPESS for sufficiently large participation probabilities, if, and only if, the impact function is convex. With costly endogenous entry, players enter the contest with a higher probability and exert more effort under FPESS than under NE. Importantly, under endogenous entry, overdissipation can occur for all (Tullock) contest success functions, in particular those with concave impact functions.

Suggested Citation

  • Yiquan Gu & Burkhard Hehenkamp & Wolfgang Leininger, 2018. "Evolutionary Equilibrium in Contests with Stochastic Participation: Entry, Effort and Overdissipation," Working Papers 201810, University of Liverpool, Department of Economics.
    • Handle: RePEc:liv:livedp:201810
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    Cited by:

    1. Boris Ginzburg, 2021. "Optimal Price Of Entry Into A Competition," Economic Inquiry, Western Economic Association International, vol. 59(1), pages 280-286, January.
    2. Leininger, Wolfgang, 2019. "Is it really overdissipation? A reassessment of evolutionarily stable behavior in contests," Ruhr Economic Papers 809, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.

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    More about this item

    Keywords

    Contests with Stochastic Participation; Overdissipation; Evolutionarily Stable Strategy; Finite Population; Endogenous Entry;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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